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Finding the Fourth Proportional to 299,484.26, 413,139.14 and 178,540.34

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Solution

The fourth proportional to 299,484.26, 413,139.14 and 178,540.34 is: 246,296.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,484.26 : 413,139.14 = 178,540.34 : x
  2. Step 2: Convert to fraction form
    299,484.26/413,139.14 = 178,540.34/x
  3. Step 3: Cross multiply
    299,484.26x = 413,139.14 × 178,540.34
  4. Step 4: Simplify right side
    299,484.26x = 73,762,002,522.91
  5. Step 5: Solve for x
    x = 73,762,002,522.91/299,484.26
  6. Step 6: Final answer
    x = 246,296.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.